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3 years ago

What is the slope of a line that is perpendicular to 4x-8y=64

Mathematics

1 answer:

tino4ka555 [31]3 years ago

4 0

Answer

Slope: -2

Step-by-step explanation:

Perpendicular slope is the negative reciprocal of the original slope.

The original slope was 1/2. Flip it. 2/1=2. Now change the sign to -2.

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Step-by-step explanation:

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3 years ago

g A report on the nightly news broadcast stated that 10 out of 108 households with pet dogs were burglarized and 20 out of 208 w

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Answer:

Test statistic |Z| = 0.1040 < 1.96 at 0.05 level of significance

Step-by-step explanation:

Step(i):-

Given that a report on the nightly news broadcast stated that 10 out of 108 households with pet dogs were burglarized

First proportion

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{10}{108} = 0.0925$

Given that a report on the nightly news broadcast stated that 20 out of 208 households without pet dogs were burglarized

Second proportion

$p_{2} = \frac{x_{2} }{n_{2} } = \frac{20}{208} = 0.0961$

where

$P = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1} +n_{2} }$

P = 0.09486

Q = 1 - P = 1 - 0.09486 = 0.90514

Step(ii):-

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

$Z = \frac{0.0925-0.0961 }{\sqrt{0.09486 X 0.90514(\frac{1}{108 } +\frac{1}{208 } )} }$

Z = -0.1040

|Z| = |-0.1040|

|Z| = 0.1040

Critical value Z = 1.96 at 0.05 level of significance

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3 years ago

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Answer:

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Step-by-step explanation:

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